A graph of y=f(x) is shown, where f(x)=2x^5-3x^4+x^3-8x^2+5x+3 and f(-x)= -2x^5-3x^4-x^3-8x^2-5x+3. a.  How many negative real zeros does f have?  Explain.   b.  How many positive real zeros are possible for f?  Explain.  What does this tell you about the eventual right-hand behavior of the graph?   c.  Is x= -1/3 a possible rational zero of f?  Explain.   d. Explain how to check whether (x - 3/2) is a factor of f and whether x=3/2 is an upper bound for the real zeros of f.

Q: 2. Let fx) = - 10 (x + 2 ) (x – 3)(x + 2)*. Do not use your calculator until part d. a. List the…

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Q: A cat is falling from a branch. Its height t seconds after it fell is given by the function h(t) =…

A: We have given height  ht=-16t2+5 To get for what height cat was falling  Put t=0 h0=0+5 h0=5 height…

Q: If a zero has an even multiplicity what happens at the X intercept?

A: Given query is to provide the information about multiplicity of zero and intercept.

Q: What is an equation for a polynomial that includes  -degree 3 -zero of multiplicity 1 at x=2…

A: To find the equation for a polynomial that includes  degree 3 zero of multiplicity 1 at x=2    zero…

Q: what is a cubic plolynomial function in standard form with zeros -4, -5 and 4 a.…

A: given zeros -4,-5 and 4

Q: Find all zeros of H(x)=5(x-2)^2(x^2-4x-3). Show work and simplify.

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Q: FInd the complex zeros of the polynomial function Write f in factored form f(x)=x^4+x^3+7x^2+9x-18

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Q: List all the possible rational rooots  for the polynomial F(X)=2x^2 -9x+3

A: By quadratic formula for roots of quadratic equation

Q: Find all the zeros of P . P(x)= x^3 + 3x^2 -4

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Q: Consider f(x) = (x - 1) / (x - 3). Use A = (-infinity, 3) union (3, infinity) as the domain. What is…

A: Let y = f(x). Then

Q: Use Descartes' Rule of Signs to determine the possible number of positive real zeros and the…

A: To use Descartes's rule of signs to determine the possible number of positive real zeros and the…

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.